Open AccessA Method of constructing canonoid transformations
Author(s) -
Ding Guang-Tao
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.044502
Subject(s) - hamiltonian system , hamiltonian (control theory) , computer science , transformation (genetics) , classical mechanics , mathematical physics , physics , mathematics , mathematical optimization , biochemistry , chemistry , gene
A method of constructing canonoid transformations with respect to a Hamiltonian is presented. First, the Hamiltonian system is transformed into a Birkhoffian system. Second, the Birkhoffian system is transformed into a new one under gauge transformation. Finally, the Hamiltonization of new Birkhoffian system is realized. It is pointed out that there exist many different canonoid transformations for one Hamiltonian system. Two examples are given to illustrate the application of the results.